help :( explain the meaning of -500 in context to the problem,

a plane flies directly from a city in Pennsylvania to a city in Ecuador. the equation below estimates the distance (d), In miles, from the city in Ecuador of the airplane (t) hours after taking off from the city in Pennsylvania

d=2565-500t

Answers

Answer 1

The equation of the distance of the plane from the city in Ecuador is a

linear  equation that has a constant rate of change.

The -500 is the rate at which the distance of the plane from Ecuador changes every hour.

Reasons:

The equation that estimates the distance of the plane from the city in

Ecuador is d = 2565 - 500·t

Where;

d = The distance in miles from the city in Ecuador

t = The time in hours after taking off from the city in Pennsylvania

Required:

The meaning of -500 in the context of the problem.

Solution:

By using dimensional analysis, we have;

Given that d is in miles and t is in hours, 2,565 is in miles, and 500 × t is in

miles.

Therefore, -500 is in miles per hour, which is the speed of the plane.

The -500 therefore, in the context, is the number of miles, the rate, by

which the plane becomes closer to the city in Ecuador every hour.

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Answer 2

We can  analice through a  dimensional evaluation, every term in any equation.

Solution is:

The term - 500 × t

represents, the quantity of miles travel in the time t

Looking carefully each term in the equation:

d = 2565 - 500×t

And knowing:

d, is distance in milest, is time in hoursThe fact that, adding and subtracting are mathematical operations with homologous quantities. By homologous quantities we must understand that we add and subtract apples plus or (minus) apples. We never add pencils plus boxes

We are able to answer the question.

Then in the expression

d = 2565 - 500×t

As d is in miles, we must understand that 2565 is the total distance of the trip, also in miles, should and the product  -500×t must also be in miles. According to that, the number 500 is necessarily in miles/hours (the speed of the plane),  and the negative sign for 500 means that the total distance 2565 miles should be subtracted from the total time of travel.

For instance if t = 1 hour

d = 2565 miles - 500 (miles)/hour × 1 (hour)

As we can see we are able to determine the total time of fly, as the total distance between the cities is 2565, and 500 is the speed of the plane (constant during the whole trip).

For the whole trip

d = 2565 miles    then total fly time is:

2565 (miles)/ 500 (miles/hour)×t

To get .  t = 5.13 h

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The expression which best represents the volume of the can in discuss as evaluated from the formula; V = π r² h and as required is; 6.75π.

What is the volume of the can as described?

It follows from the task content that the volume of the can whose radius is; 1.5 inches and height is; 3 inches is to be determined.

It is noteworthy to know that the volume of a can often the shape of a cylinder is given by the formula;

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Answers

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Also an easier way is to divide 4 by 2 to get 2 and 6 by 2 to get 3.

Answer:

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Each card takes  [tex]\frac{1}{6}[/tex] of an hour to be completed, and Max works for [tex]\frac{2}{3}[/tex] of an hour, so Max must've completed x amount of cards in

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[tex]1x=\frac{12}{3}[/tex]

The 1 isn't necessary when multiplying it with a variable, so we can simply remove it:

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Answers

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Answers

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The standard deviation of the binomial distribution is:

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In this problem:

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